This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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A. Intermediate Value Theorem
The question describes the Intermediate Value Theorem. This theorem states that if a function is continuous on a closed interval , and is any number between and , then there must exist at least one number in the interval such that .
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The question describes the Intermediate Value Theorem.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.